Introduction to Logic: Basics of Mathematical Reasoning
Gain insights into formal logic, propositional logic, and first-order logic. Learn inference rules and master proof construction to sharpen critical thinking and problem-solving skills.
43 Lessons
6h
Updated 2 months ago
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Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to evaluate the validity of reasoning, fostering critical thinking skills. Proficiency in constructing and understanding proofs enhances problem-solving abilities, encourages precision in thought, and promotes clarity in communication.
In this course, you’ll explore propositions and logical connectives in propositional logic. Next, you’ll cover first-order logic, which extends the scope to include variables, quantifiers, and predicates. Next, the rules of inference are discussed which provide the logical steps required to establish the validity of mathematical statements.
After taking this course, you’ll develop the skills to navigate and manipulate logical systems effectively. You’ll also acquire the essential toolkit for constructing rigorous and convincing mathematical proofs—a skill that is pivotal in advanced mathematics, computer science, and other analytical disciplines.
Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to eval...Show More
WHAT YOU'LL LEARN
An understanding of propositional logic
An understanding of first-order logic
An understanding of deductive logic
Familiarity with the structure of mathematical proofs
An understanding of propositional logic
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